What is the answer to -1+|x+4|=-1 ?

The answer to -1+|x+4|=-1 is x=-4

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-1+|x+4|=-1

- 1 + ∣ x + 4 ∣ = - 1

x = - 4

Solution steps

- 1 + ∣ x + 4 ∣ = - 1

Add

1

to both sides

- 1 + ∣ x + 4 ∣ + 1 = - 1 + 1

Simplify

∣ x + 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x + 4 = 0

x + 4 = 0 : x = - 4

x = - 4

- 2 + 8 ∣ 3 x - 3 ∣ = 70

\frac{n}{2} + 8 = 11

- 5 + ∣ 3 x + 2 ∣ = 4 x

\frac{x}{2} - 4 = 3

0.75 ∣ 8 z - 12 ∣ = 6 (z - 1)